On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces

DOI10.1016/j.jmaa.2021.125469zbMath1479.35143OpenAlexW3178082384MaRDI QIDQ2050907

A. A. Panin, M. O. Korpusov

Publication date: 1 September 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125469

zbMATH Keywords

nonlinear wavesfinite-time blow-upinstantaneous blow-upSchauder-type estimateSobolev-typeequation

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

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